cp's OEIS Frontend

A017470 a(n) = (11*n + 6)^10.

%I A017470 #15 Sep 08 2022 08:44:42
%S A017470 60466176,2015993900449,296196766695424,8140406085191601,
%T A017470 97656250000000000,713342911662882601,3743906242624487424,
%U A017470 15516041187205853449,53861511409489970176,162889462677744140625
%N A017470 a(n) = (11*n + 6)^10.
%H A017470 Vincenzo Librandi, <a href="/A017470/b017470.txt">Table of n, a(n) for n = 0..10000</a>
%H A017470 <a href="/index/Rec#order_11">Index entries for linear recurrences with constant coefficients</a>, signature (11,-55,165,-330,462,-462,330,-165,55,-11,1).
%F A017470 From _G. C. Greubel_, Sep 19 2019:(Start)
%F A017470 G.f.: (60466176 +2015328772513*x +274024159430165*x^2 +4993111339147592* x^3 +24069986191404704*x^4 +38639279895450554*x^5 +21874532039020442*x^6 +4073880923146640*x^7 +193797041298488*x^8 +1099404205901*x^9 +9765625* x^10)/(1-x)^11.
%F A017470 E.g.f.: (60466176 +2015933434273*x +146082419680351*x^2 +1209643951056750 *x^3 +2785989264344605*x^4 +2529281956307337*x^5 +1069882300751187*x^6 + 228102792962880*x^7 +24893496850530*x^8 +1308660968505*x^9 +25937424601* x^10)*exp(x). (End)
%p A017470 seq((11*n+6)^10, n=0..20); # _G. C. Greubel_, Sep 19 2019
%t A017470 (11*Range[20] -5)^10 (* _G. C. Greubel_, Sep 19 2019 *)
%o A017470 (Magma) [(11*n+6)^10: n in [0..10]]; // _Vincenzo Librandi_, Sep 04 2011
%o A017470 (PARI) vector(20, n, (11*n-5)^10) \\ _G. C. Greubel_, Sep 19 2019
%o A017470 (Sage) [(11*n+6)^10 for n in (0..20)] # _G. C. Greubel_, Sep 19 2019
%o A017470 (GAP) List([0..20], n-> (11*n+6)^10); # _G. C. Greubel_, Sep 19 2019
%Y A017470 Powers of the form (11*n+6)^m: A017461 (m=1), A017462 (m=2), A017463 (m=3), A017464 (m=4), A017465 (m=5), A017466 (m=6), A017467 (m=7), A017468 (m=8), A017469 (m=9), this sequence (m=10), A017471 (m=11), A017472 (m=12).
%K A017470 nonn,easy
%O A017470 0,1
%A A017470 _N. J. A. Sloane_